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Finding the Fourth Proportional to 341,174, 511,761 and 119,558

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Solution

The fourth proportional to 341,174, 511,761 and 119,558 is: 179,337

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,174 : 511,761 = 119,558 : x
  2. Step 2: Convert to fraction form
    341,174/511,761 = 119,558/x
  3. Step 3: Cross multiply
    341,174x = 511,761 × 119,558
  4. Step 4: Simplify right side
    341,174x = 61,185,121,638
  5. Step 5: Solve for x
    x = 61,185,121,638/341,174
  6. Step 6: Final answer
    x = 179,337

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.